Spin liquid nature in the Heisenberg J1−J2 triangular antiferromagnet
| Autor: | Iqbal Y, Hu WJ, Thomale R, Poilblanc D, Becca F |
|---|---|
| Přispěvatelé: | Institute for Theoretical Physics and Astrophysics [Würzburg], Julius-Maximilians-Universität Würzburg [Wurtzbourg, Allemagne] (JMU), Rice University [Houston], Fermions Fortement Corrélés (LPT) (FFC), Laboratoire de Physique Théorique (LPT), Institut de Recherche sur les Systèmes Atomiques et Moléculaires Complexes (IRSAMC), Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS)-Université Toulouse III - Paul Sabatier (UT3), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Institut de Recherche sur les Systèmes Atomiques et Moléculaires Complexes (IRSAMC), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées, Scuola Internazionale Superiore di Studi Avanzati / International School for Advanced Studies (SISSA / ISAS), Université Toulouse III - Paul Sabatier (UT3), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Centre National de la Recherche Scientifique (CNRS)-Université Toulouse III - Paul Sabatier (UT3), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Centre National de la Recherche Scientifique (CNRS)-Institut de Recherche sur les Systèmes Atomiques et Moléculaires Complexes (IRSAMC), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Centre National de la Recherche Scientifique (CNRS), Iqbal, Y, Hu, Wj, Thomale, R, Poilblanc, D, Becca, F |
| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: |
Strongly Correlated Electrons (cond-mat.str-el)
FUNCTIONAL RENORMALIZATION-GROUP SYMMETRY RESONATING-VALENCE-BOND GROUND-STATE PROPERTIES ORDER FOS: Physical sciences DIMENSIONAL QUANTUM ANTIFERROMAGNETS MEAN-FIELD-THEORY KAGOME-LATTICE MODEL SYSTEMS Condensed Matter - Strongly Correlated Electrons Condensed Matter::Strongly Correlated Electrons [PHYS.COND]Physics [physics]/Condensed Matter [cond-mat] [PHYS.COND.CM-SCE]Physics [physics]/Condensed Matter [cond-mat]/Strongly Correlated Electrons [cond-mat.str-el] ComputingMilieux_MISCELLANEOUS |
| Zdroj: | Physical Review B: Condensed Matter and Materials Physics (1998-2015) Physical Review B: Condensed Matter and Materials Physics (1998-2015), American Physical Society, 2016, 93, pp.144411. ⟨10.1103/PhysRevB.93.144411⟩ |
| ISSN: | 1098-0121 1550-235X |
| DOI: | 10.1103/PhysRevB.93.144411⟩ |
| Popis: | We investigate the spin-$\frac{1}{2}$ Heisenberg model on the triangular lattice in the presence of nearest-neighbor $J_1$ and next-nearest-neighbor $J_2$ antiferromagnetic couplings. Motivated by recent findings from density-matrix renormalization group (DMRG) claiming the existence of a gapped spin liquid with signatures of spontaneously broken lattice point group symmetry [Zhu and White, Phys. Rev. B 92, 041105 (2015); Hu, Gong, Zhu, and Sheng, Phys. Rev. B 92, 140403 (2015)], we employ the variational Monte Carlo (VMC) approach to analyze the model from an alternative perspective that considers both magnetically ordered and paramagnetic trial states. We find a quantum paramagnet in the regime $0.08\lesssim J_2/J_1\lesssim 0.16$, framed by $120^{\circ}$ coplanar (stripe collinear) antiferromagnetic order for smaller (larger) $J_2/J_1$. By considering the optimization of spin-liquid wave functions of a different gauge group and lattice point group content as derived from Abrikosov mean-field theory, we obtain the gapless $U(1)$ Dirac spin liquid as the energetically most preferable state in comparison to all symmetric or nematic gapped $\mathbb{Z}_{2}$ spin liquids so far advocated by DMRG. Moreover, by the application of few Lanczos iterations, we find the energy to be the same as the DMRG result within error-bars. To further resolve the intriguing disagreement between VMC and DMRG, we complement our methodological approach by the pseudofermion functional renormalization group (PFFRG) to compare the spin structure factors for the paramagnetic regime calculated by VMC, DMRG, and PFFRG. This model promises to be an ideal test-bed for future numerical refinements in tracking the long-range correlations in frustrated magnets. Comment: Editors' Suggestion. 16 pages, 13 figures, 4 tables |
| Databáze: | OpenAIRE |
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